Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates

Abstract

The semilinear wave equation on the (outer) Schwarzschild manifold is studied. We prove local decay estimates for general (non-radial) data, deriving a-priori Morawetz type estimates.

AMS-LaTeX, 16 pages. There is an errata to this paper at gr-qc/0608073